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Simplifying 3z + 11 = 5z + -43 Reorder the terms: 11 + 3z = 5z + -43 Reorder the terms: 11 + 3z = -43 + 5z Solving 11 + 3z = -43 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 11 + 3z + -5z = -43 + 5z + -5z Combine like terms: 3z + -5z = -2z 11 + -2z = -43 + 5z + -5z Combine like terms: 5z + -5z = 0 11 + -2z = -43 + 0 11 + -2z = -43 Add '-11' to each side of the equation. 11 + -11 + -2z = -43 + -11 Combine like terms: 11 + -11 = 0 0 + -2z = -43 + -11 -2z = -43 + -11 Combine like terms: -43 + -11 = -54 -2z = -54 Divide each side by '-2'. z = 27 Simplifying z = 27
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